k-fold mixing lifts to weakly mixing isometric extensions

DOI10.1017/S0143385700003060zbMath0594.28015MaRDI QIDQ3724610

Daniel J. Rudolph

Publication date: 1985

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Bernoulli shiftergodic finite measure preserving transformationk-fold mixingweakly mixing isometric extension

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (13)

Informal research statement ⋮ New spectral multiplicities for mixing transformations ⋮ Lifting mixing properties by Rokhlin cocycles ⋮ On some generic classes of ergodic measure preserving transformations ⋮ An ergodic system is dominant exactly when it has positive entropy ⋮ Stochastic intertwinings and multiple mixing of dynamical systems ⋮ Minimal extensions of flows with amenable acting groups ⋮ A survey on spectral multiplicities of ergodic actions ⋮ A General Condition for Lifting Theorems ⋮ Ergodic Properties that Lift to Compact Group Extensions ⋮ Statistical properties of skew-endomorphisms with Bernoulli base ⋮ Unnamed Item ⋮ Ergodicity of Rokhlin cocycles.

Cites Work

• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds

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